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Katarina [22]
3 years ago
6

The price of an item is $35, but you have to pay $38.22. What is the sales tax rate?

Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

$3.22

Step-by-step explanation:

you just need to subtract to see how much tax you paid.

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Fill in the missing fraction or mixed number <br> __ + 1/4 = 5/8
gogolik [260]

3/8=answer

1) 5/8-1/4=

2) <u>(</u><u>5</u><u>•</u><u>4</u><u>)</u><u>-</u><u>(</u><u>1</u><u>•</u><u>8</u><u>)</u><u>=</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>8•4

3) <u>20-8</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>32 =

4) <u>12</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>32=

5) <u>12</u><u>/</u><u>4</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>32/4=

6) <u>3</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>8 =answer

5 0
3 years ago
A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha
Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

  • The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
  • the radius r=5cm
  • Punch is being poured into the bowl
  • The height at which the punch is increasing in the bowl is \frac{dh}{dt} = 1.5
  • the exposed area is a circle, (since the bowl is a hemisphere)
  • the radius of this circle can be written as 'a'
  • what is being asked is the rate of change of the exposed area when the height h = 2 cm
  • the rate of change of exposed area can be written as \frac{dA}{dt}.
  • since the exposed area is changing with respect to the height of punch. We can use the chain rule: \frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}
  • and since A = \pi a^2 the chain rule above can simplified to \frac{da}{dt} = \frac{da}{dh} . \frac{dh}{dt} -- we can call this Eq(1)

Solution:

the area of the exposed circle is

A =\pi a^2

the rate of change of this area can be, (using chain rule)

\frac{dA}{dt} = 2 \pi a \frac{da}{dt} we can call this Eq(2)

what we are really concerned about is how a changes as the punch is being poured into the bowl i.e \frac{da}{dh}

So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:

r = \frac{a^2 + h^2}{2h}

and rearrage the formula so that a is the subject:

a^2 = 2rh - h^2

now we can derivate a with respect to h to get \frac{da}{dh}

2a \frac{da}{dh} = 2r - 2h

simplify

\frac{da}{dh} = \frac{r-h}{a}

we can put this in Eq(1) in place of \frac{da}{dh}

\frac{da}{dt} = \frac{r-h}{a} . \frac{dh}{dt}

and since we know \frac{dh}{dt} = 1.5

\frac{da}{dt} = \frac{(r-h)(1.5)}{a}

and now we use substitute this \frac{da}{dt}. in Eq(2)

\frac{dA}{dt} = 2 \pi a \frac{(r-h)(1.5)}{a}

simplify,

\frac{dA}{dt} = 3 \pi (r-h)

This is the rate of change of area, this is being asked in the quesiton!

Finally, we can put our known values:

r = 5cm

h = 2cm from the question

\frac{dA}{dt} = 3 \pi (5-2)

\frac{dA}{dt} = 9 \pi cm/s// or//\frac{dA}{dt} = 28.27 cm/s

5 0
3 years ago
A recipe calls for 2 2 over 4 cups of raisins but julie only has a 1 over 4 c up measuring how many 1 over 4 cups does julie nee
Kamila [148]
You will need 6/4 cups of raisins to complete the amount you need to comply with the recipe
8 0
2 years ago
A line segment with length 6cm is dilated by a scale factor of 2/3. What is the length of the dilated segment? I don’t understan
rusak2 [61]

Answer:

10cm (I think)

Step-by-step explanation:

2/3 = .66666666 x 6 = 4

4 +6 = 10

7 0
3 years ago
Find the area of the polygon with E(-3,2), F(1,5), G(5,-1), H(1,-5).
kykrilka [37]

Answer:

40

Step-by-step explanation:

-3   2

               -15  -   2         =      -17

1     5

                 -1    -  25      =     -26

5<em> </em>   -1

                -25    -   (-1)   =     - 24

1   <em> -5</em>

                 2      -   <em>15</em>    =     -13

<em>-3</em>   2

area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40

Answer: 40

6 0
3 years ago
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